A posteriori error estimates for control problems governed by nonlinear elliptic equations
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Publication:1412339
DOI10.1016/S0168-9274(03)00054-0zbMath1032.65068OpenAlexW1980887896MaRDI QIDQ1412339
Publication date: 10 November 2003
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00054-0
Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (30)
A posteriori error estimates for semilinear optimal control problems ⋮ A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem ⋮ Error estimates in \(L^2\) and \(L^\infty\) norms of finite volume method for the bilinear elliptic optimal control problem ⋮ Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem ⋮ Superconvergence analysis of fully discrete finite element methods for semilinear parabolic optimal control problems ⋮ Adaptive multilevel correction method for finite element approximations of elliptic optimal control problems ⋮ A priori error estimates for optimal control problems governed by transient advection-diffusion equations ⋮ Multi-mesh adaptive finite element algorithms for constrained optimal control problems governed by semi-linear parabolic equations ⋮ A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems ⋮ Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems ⋮ Error estimates of \textit{hp} spectral element methods in nonlinear optimal control problem ⋮ A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations ⋮ Convergence and quasi-optimality of \(L^2\)-norms based an adaptive finite element method for nonlinear optimal control problems ⋮ A Posteriori Error Estimates for Semilinear Boundary Control Problems ⋮ \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem ⋮ Identification of a Corroded Boundary and Its Robin Coefficient ⋮ Error analysis of variational discretization solving temperature control problems ⋮ Error estimates of triangular mixed finite element methods for quasilinear optimal control problems ⋮ Adaptive mixed finite element methods for nonlinear optimal control problems ⋮ \(L^{\infty}\)-estimates of mixed finite element methods for general nonlinear optimal control problems ⋮ A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms ⋮ A posteriorierror estimates for mixed finite element approximation of nonlinear quadratic optimal control problems ⋮ Adaptive characteristic finite element approximation of convection–diffusion optimal control problems ⋮ Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems ⋮ Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems ⋮ A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems ⋮ A posteriori error estimates of fully discrete finite-element schemes for nonlinear parabolic integro-differential optimal control problems ⋮ Error estimates of finite volume method for Stokes optimal control problem ⋮ A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations ⋮ A posteriori error estimates for optimal control problems constrained by convection-diffusion equations
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